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Finding the Third Proportional to 64,252,300 and 97,884,200

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Solution

The third proportional to 64,252,300 and 97,884,200 is: 149,120,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,252,300 : 97,884,200 = 97,884,200 : x
  2. Step 2: Convert to fraction form
    64,252,300/97,884,200 = 97,884,200/x
  3. Step 3: Cross multiply
    64,252,300x = 97,884,200 × 97,884,200
  4. Step 4: Simplify right side
    64,252,300x = 9,581,316,609,640,000
  5. Step 5: Solve for x
    x = 9,581,316,609,640,000/64,252,300
  6. Step 6: Final answer
    x = 149,120,212.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.